Catastrophe Theory and Bifurcation (Routledge Revivals): Applications to Urban and Regional Systems

1st Edition

Alan Wilson

Routledge
Published October 22, 2012
Reference - 332 Pages
ISBN 9780415687966 - CAT# Y121807

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Summary

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters.

First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.

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